Results 11 to 20 of about 25,940 (295)

On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square [PDF]

open access: yesApplied Mathematics & Optimization, 2021
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems.
Caraballo Garrido, Tomás   +2 more
core   +4 more sources

Exponential mean-square stability properties of stochastic linear multistep methods [PDF]

open access: yesAdvances in Computational Mathematics, 2021
The aim of this paper is the analysis of exponential mean-square stability properties of nonlinear stochastic linear multistep methods. In particular it is known that, under certain hypothesis on the drift and diffusion terms of the equation, exponential
D'Ambrosio R., Buckwar E.
core   +4 more sources

Exponential mean square stability of numerical solutions to stochastic differential equations [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2003
Positive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs).
Stuart, Andrew M.   +5 more
core   +5 more sources

Exponential stability in mean square of impulsive stochastic difference equations with continuous time

open access: yesApplied Mathematics Letters, 2009
So far there have been few results presented on the exponential stability in mean square for impulsive stochastic difference equations with continuous time. The main aim of this work is to close this gap. Unlike earlier studies, ours does not make use of
Hou, Zhenting   +2 more
core   +3 more sources

Nonuniform mean-square exponential dichotomies and mean-square exponential stability [PDF]

open access: yesNonlinear Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hailong Zhu, Li Chen
openaire   +2 more sources

Mean square exponential stability of stochastic function differential equations in the G-framework

open access: yesOpen Mathematics, 2023
This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that the trivial solution of a G-SFDE with infinite delay is exponentially stable in mean square. An example
Li Guangjie, Hu Zhipei
doaj   +1 more source

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

open access: yesAdvances in Difference Equations, 2021
This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi   +3 more
doaj   +1 more source

Exponential mean-square stability of numerical solutions for stochastic delay integro-differential equations with Poisson jump

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we investigate the exponential mean-square stability for both the solution of n-dimensional stochastic delay integro-differential equations (SDIDEs) with Poisson jump, as well for the split-step θ-Milstein (SSTM) scheme implemented of the ...
Davood Ahmadian, Omid Farkhondeh Rouz
doaj   +1 more source

Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations [PDF]

open access: yes, 2011
This is a continuation of the first author's earlier paper [1] jointly with Pang and Deng, in which the authors established some sufficient conditions under which the Euler-Maruyama (EM) method can reproduce the almost sure exponential stability of the ...
Shen, Yi   +5 more
core   +1 more source

Mean Square Exponential Stability of a Class of Stochastic Rcellular Neural Networks

open access: yesJournal of Harbin University of Science and Technology, 2020
In this paper, the problem of the mean square exponential stability of a class of impulsive stochastic reactiondiffusion cellular neural networks (CNNs) with transmission delay and distributed delay, and parameter uncertainties is discussed.
LIU Xin, CHEN Lili, HUANG Shuai
doaj   +1 more source

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